3682491840 has 336 divisors, whose sum is σ = 13444423200. Its totient is φ = 922558464.

The previous prime is 3682491811. The next prime is 3682491851. The reversal of 3682491840 is 481942863.

It is a happy number.

3682491840 is a `hidden beast` number, since 3 + 6 + 82 + 491 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9466366 + ... + 9466754.

Almost surely, 2^3682491840 is an apocalyptic number.

3682491840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722211600).

3682491840 is an abundant number, since it is smaller than the sum of its proper divisors (9761931360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3682491840 is a wasteful number, since it uses less digits than its factorization.

3682491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3682491840 is about 60683.5384597833. The cubic root of 3682491840 is about 1544.2369185513.

The spelling of 3682491840 in words is "three billion, six hundred eighty-two million, four hundred ninety-one thousand, eight hundred forty".